Multichannel image deconvolution in the Wavelet Transform domain

In this paper, we are interested in restoring blurred multicomponent images corrupted by an additive Gaussian noise. The novelty of the proposed approach is two-fold. Firstly, we show how to combine M-band Wavelet Transforms (WT) with Fourier analysis to restore multicomponent images. Secondly, we point out that the multichannel deconvolution procedure takes advantage of exploiting multivariate regression rules. Simulations experiments carried out on multispectral satellite images indicate the good performance of our method.